• Communications of the Korean Mathematical Society
• /
• v.35 no.2
• /
• pp.487-497
• /
• 2020

In this paper, we establish a complex matrix representation of the Clifford algebra Cℓ_p,q. The size of our representation is significantly smaller than the size of the elements in L_p,q(ℝ). Additionally, we give detailed information about the spectrum of the constructed matrix representation.

• Korean Journal of Computational Design and Engineering
• /
• v.9 no.4
• /
• pp.294-305
• /
• 2004

Highly detailed geometric models are rapidly becoming commonplace in computer graphics and other applications. These complex models, which is often represented as complex1 triangle meshes, mainly suffer from the vast memory requirement for real-time manipulation of arbitrary geometric shapes without loss of data. Various techniques have been devised to challenge these problems in views of geometric processing, not a representation scheme. This paper proposes the new mesh structure for the compact representation and the efficient handling of the highly complex models. To verify the compactness and the efficiency, the memory requirement of our representation is first investigated and compared with other existing representations. And then we analyze the time complexity of our data structure by the most critical operation, that is, the enumeration of the so-called one-ring neighborhood of a vertex. Finally, we evaluate some elementary modeling functions such as mesh smoothing, simplification, and subdivision, which is to demonstrate the effectiveness and robustness of our mesh structure in the context of the geometric modeling and processing.

• Journal of the Korean Mathematical Society
• /
• v.38 no.2
• /
• pp.297-309
• /
• 2001

White noise distribution theory over the complex Gaussian space is established on the basis of the recently developed white noise operator theory. Unitarity condition for a white noise operator is discussed by means of the operator symbol and complex Gaussian integration. Concerning the overcompleteness of the exponential vectors, a coherent sate representation of a white noise function is uniquely specified from the diagonal coherent state representation of the associated multiplication operator.

• Journal of architectural history
• /
• v.7 no.1 s.14
• /
• pp.109-120
• /
• 1998

Mekuro-Kazoen BLDG. is a complex of office, hotel, and banquet halls, builted in 1991, Tokyo, Japan. This building suggest us various issues about the representation of traditionality in current architecture. We can find the possibility of representation of traditionality in large complex, in past, rarely applicated. Even in Japan, such trial in official building as New Office Building of Tokyo in Sinzuku shows a application only in the elevation plan. In Mekuro-Kazoen BLDG, the applications of traditionality are found not only in external appearance, but also in interior design. And the traditional Japanese gardens in front of building and in atrium enrich the traditionality And the modenity and traditionality in this building are represented simultaneously not deteriorating each other. The issue of representation of traditionality in architecture should be succeed not only in now but also in the future. The method of application need to be studied and improved. The fields of application also should be extended such as large complex buildings and future-oriented buildings.

• Bulletin of the Korean Mathematical Society
• /
• v.52 no.3
• /
• pp.963-975
• /
• 2015

In this paper, we give a representation formula for an isotropic curve with pseudo arc length parameter and define the structure function of such curves. Using the representation formula and the Frenet formula, the isotropic Bertrand curve and k-type isotropic helices are characterized in the 3-dimensional complex space $\mathbb{C}^3$.

• Bulletin of the Korean Mathematical Society
• /
• v.60 no.6
• /
• pp.1497-1522
• /
• 2023

In this paper we compute the Bredon homology of wallpaper groups with respect to the family of finite groups and with coefficients in the complex representation ring. We provide explicit bases of the homology groups in terms of irreducible characters of the stabilizers.

• Journal of applied mathematics & informatics
• /
• v.35 no.3_4
• /
• pp.331-347
• /
• 2017

Soft sets are fantastic mathematical tools to handle imprecise and uncertain information in complicated situations. In this paper, we defined the hybrid structure which is the combination of soft set and complex number representation of intuitionistic fuzzy set. We defined basic set theoretic operations such as complement, union, intersection, restricted union, restricted intersection etc. for this hybrid structure. Moreover, we developed this theory to establish some more set theoretic operations like Disjunctive sum, difference, product, conjugate etc.

• Proceedings of the Korean Institute of Interior Design Conference
• /
• 1999.04a
• /
• pp.110-113
• /
• 1999

Mekuro-Kazoen BLDG. is complex of office, hotel, hotel, and banquet hall, built in 1991, Tokyo, Japan. This building suggest us various issue about the representation of traditionality in current architecture. We can find the possibility of representation of traditionality in large complex, in past, rarely applicated. Even in Japan, such trial in official building as New Office Building of Tokyo in Sinzuku shows a application only in the elevation plan. In Mekuro-Kazoen BLDG. the application of traditionality are fond not only in external appearance, but also in interior design. And the modernity and traditionality in this building are represented simultaneously not deterioating each other. the issues of representation of traditionality in interior design should be succeed not only in now but also in future. The method of application need to be studied and improved. The fields of application also should be extended such as large complex buildings and future-oriented buildings.

• Journal of applied mathematics & informatics
• /
• v.9 no.2
• /
• pp.519-529
• /
• 2002

We investigate implementation of the determinantal representation of generalized inverses for complex and rational matrices in the symbolic package MATHEMATICA. We also introduce an implementation which is applicable to sparse matrices.

• Journal of Biomedical Engineering Research
• /
• v.21 no.2
• /
• pp.165-174
• /
• 2000

본 논문에서는 M 채널 필터 뱅크를 이용하여 심전도 자동 진단 시스템에서 매우 중요한 파라미터로 사용되는 QRS complex 검출을 실시하였다. 제안된 알고리즘에서는 심전도 신호를 M개의 균일한 주파수 대역으로 분할(decomposition)하고, 분할된 서브밴드(subband) 신호들 중에서 QRS complex의 에너지 분포가 가장 많이 존재하는 5∼25Hz 영역의 서브밴드 신호들을 선택하여 feature를 계산함으로써 QRS complex 검출을 실시하였다. 제안된 알고리즘의 성능 비교를 위하여 MIT-BIH arrhythmia database를 사용하였으며, sensitivity는 99.82%, positive predictivity는 99.82, 평균 검출율은 99.67%로 기존의 알고리즘에 비해 높은 검출 성능을 나타내었다. 또한 polyphase representation을 이용하여 M 채널 필터 뱅크를 구현한 결과 연산 시간이 단추되어 실시간 검출이 가능함을 확인하였다.